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Finding the Fourth Proportional to 103.72, 142.80 and 98.59

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Solution

The fourth proportional to 103.72, 142.80 and 98.59 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.72 : 142.80 = 98.59 : x
  2. Step 2: Convert to fraction form
    103.72/142.80 = 98.59/x
  3. Step 3: Cross multiply
    103.72x = 142.80 × 98.59
  4. Step 4: Simplify right side
    103.72x = 14,078.16
  5. Step 5: Solve for x
    x = 14,078.16/103.72
  6. Step 6: Final answer
    x = 135.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.